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Finding the Fourth Proportional to 2,655.73, 3,664.55 and 1,476.57

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Solution

The fourth proportional to 2,655.73, 3,664.55 and 1,476.57 is: 2,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.73 : 3,664.55 = 1,476.57 : x
  2. Step 2: Convert to fraction form
    2,655.73/3,664.55 = 1,476.57/x
  3. Step 3: Cross multiply
    2,655.73x = 3,664.55 × 1,476.57
  4. Step 4: Simplify right side
    2,655.73x = 5,410,957.21
  5. Step 5: Solve for x
    x = 5,410,957.21/2,655.73
  6. Step 6: Final answer
    x = 2,037.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.